All Free Statistics MCQs with Answers
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545 questions · page 12 of 55
111. If all values are same then the measure of dispersion will be?
- A. 1
- B. 0
- C. Mean
- D. Mode
- E. Median
Explanation: When all observations are equal, each observation has zero deviation from the mean. Consequently every usual measure of dispersion, including range, variance, and standard deviation, is 0.
Correct answer: 0112. The sum of absolute deviations from median is _____?
- A. Zero
- B. Positive
- C. Least
- D. None of these
Explanation: The median minimizes the sum of absolute deviations because at least half the observations lie on each side of it. Therefore, absolute deviations are least when measured from the median.
Correct answer: Least113. ________ is the simplest means of dispersion?
- A. Standard deviation
- B. Variation
- C. C.V.
- D. Range
Explanation: Range is the simplest measure of dispersion because it uses only the largest and smallest observations: range equals maximum minus minimum. Standard deviation and the coefficient of variation require more calculation.
Correct answer: Range114. First movement about mean is always equal to ___________?
- A. S.D.
- B. 1
- C. Zero
- D. None of these
Explanation: The first central moment is the mean of deviations from the mean, and positive and negative deviations cancel exactly. Thus, its value is zero.
Correct answer: Zero115. The standard deviation is affected by the value of every____________?
- A. Relative Dispersion
- B. Observation
- C. Absolute
- D. Items
Explanation: Standard deviation is calculated from the deviations of all observations from their mean, so changing any observation can affect it. This distinguishes it from measures based only on selected values, such as the range.
Correct answer: Observation116. Check the consistency used _____________?
- A. Coefficient of dispersion
- B. Mean coefficient
- C. Coefficient of variance
- D. Q.D.
Explanation: Consistency is commonly compared using the coefficient of variation, calculated as standard deviation divided by the mean, usually multiplied by 100. A lower coefficient of variation indicates greater consistency.
Correct answer: Coefficient of variance117. __________ of the distribution which is measured relative to the distribution known as Normal?
- A. Skewed
- B. Flatness
- C. Normal
- D. Moment
Explanation: Flatness refers to kurtosis, which describes the shape of a distribution relative to the normal distribution. Among the choices, “Flatness” is the intended term.
Correct answer: Flatness118. In symmetrical distribution, the co-efficient of skewness is equal to ______________?
- A. -1
- B. +1
- C. 0
- D. None of these
Explanation: A symmetrical distribution has balanced tails, so its skewness is zero. Values of -1 or +1 indicate negative or positive skewness, not symmetry.
Correct answer: 0119. Quartile deviation is not capable of manipulation______________?
- A. Easy
- B. mathematically
- C. Abjectly
- D. Algebraic
Explanation: Quartile deviation depends on the first and third quartiles and is not readily suitable for algebraic manipulation. This is a limitation compared with measures such as standard deviation.
Correct answer: Algebraic120. The measure of relative dispersion is called __________________?
- A. Quartile deviation
- B. Mean dervation
- C. Mean coefficient
- D. Coefficient of quartile Deviation
Explanation: Relative dispersion is expressed as a coefficient, such as the coefficient of quartile deviation, rather than the quartile deviation itself. The latter is an absolute measure in the original units.
Correct answer: Coefficient of quartile Deviation